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Illustrative Mathematics

Computations with Complex Numbers

For Teachers 9th - 12th Standards
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...
Worksheet
Kuta Software

Add/Subtracting Fractions and Mixed Numbers

For Students 5th - 8th Standards
Get your fraction on with this worksheet full of adding and subtracting with fractions and mixed numbers. The first page starts off simple, and the second page introduces more challenging problems. Let your learners become comfortable...
Lesson Plan
Alabama Learning Exchange

Logarithms: Undo the Exponential

For Teachers 9th - 12th Standards
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
Lesson Plan
EngageNY

The “WhatPower” Function

For Teachers 9th - 12th Standards
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are...
Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...
Lesson Plan
EngageNY

Recursive Formulas for Sequences

For Students 9th - 10th Standards
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...
Lesson Plan
Curated OER

Profitable Soda Stand

For Teachers 8th - 10th
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Worksheet
Springfield Public Schools District 186

Adding and Subtracting Fractions with Unlike Denominators

For Students 5th - 6th Standards
Fractions are your learners' best friend in this simple worksheet that has room to show work as learners practice adding and subtracting fractions with unlike denominators.
Lesson Plan
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Illustrative Mathematics

Puzzle Times

For Teachers 6th - 7th Standards
Give your mathematicians this set of data and have them create a dot plot, then find mean and median. They are asked to question the values of the mean and median and decide why they are not equal. Have learners write their answers or...
Lesson Plan
Curated OER

A Valuable Quarter

For Teachers 9th - 12th Standards
Your young bankers model an account balance with an exponential function and solve the equation by extracting a root or taking a logarithm. The task involves the context of annual and compounding interest as well as some interesting...
Worksheet
Curated OER

Think of a Number

For Students 4th - 6th
In this math worksheet, students engage in a mental math activity. Student think a number and follow several computations with that number and always come up with the answer 9. Students discuss why this happens.
Worksheet
Curated OER

Using Parentheses With Computation

For Students 4th
In this computations worksheet, 4th graders solve 7 written expressions utilizing the mathematical strategy of solving what is in parentheses first and then completing the rest of the expression.
Lesson Plan
Curated OER

Strong Arm Iteration

For Teachers 7th - 9th
Young scholars solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
Lesson Plan
Curated OER

Computing with Mathematical Formulas

For Teachers 9th - 12th Standards
Learners solve problems using formulas. In this algebra lesson plan, students evaluate numbers using substitution. They graph their answers using a TI and discuss the outcome.
Lesson Plan
Curated OER

Order of Operations

For Teachers 6th
Sixth graders perform the Order of Operations. Given various story problems, groups of students solve equations requiring division, multiplication, parenthesis, exponents and other mathematical processes. They discuss the order of...
Lesson Plan
Curated OER

Ten Square Root of Negative Numbers and Ten i to a Power Problems

For Teachers 10th - 11th
In this i worksheet, students simplify square roots of negative numbers in ten problems and evaluate i to the given power in ten more problems.  The solutions are provided.
Lesson Plan
Curated OER

Balance or Tilt?

For Teachers 6th
Sixth graders investigate the concepts of a variable, constant, expressions, and equations. They solve problems which require the interpretation of expressions in and out of equations looking for solutions. Students also use a balance...
Lesson Plan
Curated OER

Order of Operations

For Teachers 7th
Seventh graders explore the order of operations. They compare how the values of equations change when the order of operations is not followed. They discuss the order of operations. Independently, 7th graders solve equations. Students...
Lesson Plan
Curated OER

Circles and Stars

For Teachers 3rd - 4th
Students solve multiplication problems utilizing virtual manipulatives, express multiplication problems in form of expressions, enter data into a spreadsheet and analyze results, and play game Circles and Stars.
Lesson Plan
Curated OER

Forensics 101

For Teachers 6th - 9th
Young scholars interpret how to communicate information and ideas in ways that are appropriate to the purpose and audience through spoken, written, and graphic means of expression. They use information-gathering techniques, analyze and...
Worksheet
Curated OER

Chapter 7 Review: Radical Notation

For Students 10th - 12th
In this radical notation worksheet, students write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page worksheet contains...
Worksheet
Curated OER

Leveled Problem Solving Order of Operations

For Students 5th - 7th
In this order of operations practice activity, students sharpen their problem solving skills as they solve 6 story problems.
Lesson Plan
Curated OER

A Walk Through Time

For Teachers 10th - 12th
Students investigate the types of footwear worn during ten periods of history.  In this secondary, art/math/social studies lesson, students view documentaries and popular films to study the time periods.  Students research the...